how to sum 20.you took 3 five time
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This is a question on permutation.
With permutation the order of the arrangements is necessary.
The formula for permutation is as follows :
Given n objects from which you need to choose r objects at a time the formula for the permutation is as follows :
p = \frac{n!}{(n - r)!}
(n−r)!
n!
From the question above we have :
n = 20
r = 3
We need to get the numbers that when picked three at a time can sum up to 20.
We do the substitution as follows :
P = 20!/(20-3)!
This equals to :
20!/17! = 6840
The answer is 6840 ways.
Step-by-step explanation:
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